OF THE

CAMBRIDGE

PHILOSOPHICAL SOCIETY.

ESTABLISHED NOVEMBER 15, 1819.

VOLUME THE THIRD.

CAMBRIDGE:

PRINTED AT THE UNIVERSITY PRESS;

AND SOLD BY J. J. & J. DEIGHTON, AND T. STEVENSON, CAMBRIDGE;
AND T. CADELL, STRAND, LONDON.

M. DCCC.XXX.

OF

VOLME III.

RT I.

N°. I. ON the Spherical Aberrationf the Eye-pieces of Telescopes: by

G. B. AIRY, Esq. M.A.....

II.

On Algebraic Notation: by HOMAS JARRETT, Esq. B. A..........

III. On the Disturbances of hdulums and Balances, and on the

Theory of Escapementsry G. B. AIRY, Esq. M. A.

....

IV. On the Pressure produced a flat Plate when opposed to a Stream

of Air issuing from a Orifice in a plane Surface: by the

Rev. ROBERT WILLIS,. A.

PAGE

1

65

105

129

V.

On the Calculation of Anuities, and on some Questions in the

Theory of Chances: bJ. W. LUBBOCK, Esq. B.A.

141

after 154

VI.

Tables I. to XI..........

On the Longitude of the ambridge Observatory: by G. B. AIRY,

Esq. M.A. Plumian rofessor...

1

155

VII. On the Extension of Bod Empirical Law of the Distances of the

Planets from the Su to the Distances of the Satellites from

their respective Primies: by JAMES CHALLIS, Esq. M.A..... 171

VIII. On the Focus of a ConiSection: by PIERCE MORTON, Esq. B.A. 185

IX. Mathematical Expositionof some Doctrines of Political Economy:

by the Rev. W. WHWELL, M. A. F.R.S.

191

Notes and Corrections....

229

X.

On the Vowel Sounds and on Reed Organ-Pipes: by the Rev.

R. WILLIS, M.A.

231

Appendix

1

263

XI.

On the Theory of theSmall Vibratory Motions of Elastic Fluids:

by JAMES CHALLI, Esq. M. A..

269

XII. On the Comparison ofVarious Tables of Annuities: by J. W. LUB-

BOCK, Esq. B.A. . R. & L.S.......

321

Tables I. to XII.

after 326